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8/3/2019 Donna Kubik- Ultra high energy cosmic rays
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Ultra high energy cosmic rays
Donna Kubik
Spring, 2005
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Cosmic accelerators
Thanks to Angela Olinto for
invaluable references and to
Jeff Wilkes for getting me into
all this in the first place!
Injection, acceleration, propagationin SN1987A
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References
1. Ultra High Energy Cosmic Rays: The theoretical challenge, A. V.Olinto, Phys.Rept.333 (2000) 329-348
astro-ph/0002006
2. Origin and Propagation of Extremely High Energy Cosmic Rays,Pijushpani Bhattacharjee and Guenter Sigl, Phys.Rept. 327(2000) 109-247
astro-ph/9811011
3. Introduction to Ultrahigh Energy Cosmic Ray Physics, PierreSokolsky, Addison-Wesley, 1989
4. High Energy Cosmic Rays, Todor Stanev, Springer, 2004
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Cosmic accelerators
Notice the similar geometry
of cosmic ray accelerators, like
SN1987A, and the manmade
accelerator at Fermilab ;) !
Injection, acceleration, propagationin SN1987A
Injection, acceleration, propagationin a manmade accelerator
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Cosmic accelerators
Energy spectra of cosmic rays
have been shaped by a
combination of injection,
acceleration and propagation
Injection, acceleration, propagationin SN1987A
Injection, acceleration, propagationin a manmade accelerator
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Cosmic accelerators
These processes are modified
by energy losses, collisions,
and perhaps leakage from the
galaxy, and they all depend on
particle energies.
Synchrotron loss in manmade accelerators
Synchrotron emission from high energyelectrons in M87
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Cosmic ray detection
The cosmic ray spectrum has
been measured over a wide
range of energy
The method of CR detectiondepends on the energy of the
particles
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Direct detection
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Indirect detection
> 0.1x1015 eV
Flux is too low for directdetection
Extensive air showers(EAS)
Ground arrays
Atmospheric light Cherenkov
Nitrogenscintillation(UV)
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EAS
The atmosphere above thearea of the EAS array servesas a natural transducer andamplifier for the detector.
The primary energetic cosmicray collides with a nucleus inthe air, creating manysecondary particles whichshare the original energy.
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EAS
The secondary particles alsocollide with nuclei in the air,creating a new generation ofstill more particles thatcontinue the process.
This cascade, called an"extensive air shower, arrivesat ground level with billions ofenergetic particles that can bedetected over approximately10 square kilometers.
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Auger Observatory
Above 1019 eV, the arrival rateis only 1 particle per squarekilometer per year.
Cosmic rays with energies
above 1020 eV have anestimated arrival rate of only1/km2 per century!
Need huge area
i.e. Auger Observatorydetection area of 3000 squarekilometers Click on image to see EAS animation of
Pierre Auger Cosmic Ray Observatory Array
(Must be online to view animation)
Animation from Auger website http://www.auger.org/photos/AnimGif.html
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Composition
The particle identity isdetermined by the muoncontent of the shower inground arrays and the depth ofshower max in fluorescence
detectors
But this is difficult analysis athigh energies
Need more data
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The cosmic ray spectrum Part 1
< 1 GeV
Temporally correlated withsolar activity solar origin
1 GeV to Knee
Galactic origin (SNRshocks)
Knee to Ankle
Larger shocks (galacticwinds) and SN explosions
into stellar winds
Graph from [2]
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The cosmic ray spectrum Part 2
Ankle (>1019.5)
Drastic change is slope
Crossover from Galactic toextragalactic origin?
100s of events >1019 eV
20 events above 1020 eV
AGASA
Flys Eye
HIRES
Highest-energy event is3.2x1020 eV
Graph from [2]
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GZK cutoff Part 1
The many events that have beenobserved above 7 x 1019 eV withno sign of the Greisen-Zatsepin-Kuzmin (GZK) cutoff was notexpected
If the Ultra High Energy CosmicRays (UHECRs) are protons,nuclei, or photons fromextragalactic sources, an energycutoff should be present
Protons with an initialE > 1020 eV
from >100 Mpc should appear at alower energy due to energy loss tothe CMB.
Graph from [2]
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GZK cutoff Part 2
The CMB has a blackbody spectrum with T=2.7 K corresponding to
mean energy of 6.34x10-4 eV [4]. A proton of high enough energy
(> 7x1019 eV) will interact inelastically with CMB photons producing
pions via
0!"
!"
pp
np
#+
#++
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GZK cutoff Part 3
With each collision, the proton would lose roughly 20% of its energy
This only happens for cosmic rays that have at least 6 x 1019 eV ofenergy, and this is the predicted GZK cutoff.
So if cosmic rays were given an initial energy greater than that, theywould lose energy in repeated collisions with the cosmic microwavebackground until their energy fell below this cutoff.
However, if the source of the cosmic ray is close enough, then it willnot have made very many collisions with microwave photons, and its
energy could be greater than the GZK cutoff.
This distance is about 150 million light years.
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Calculation of the required UHECR
proton energy for pion photoproduction
The approach is to calculate theproton energy, Ep, required forpion photoproduction usingconservation of 4-momenta, P.
Considering the left hand side inthe lab frame and the right handside in the center-of-mass frame,where
Ep = UHECR proton energy(the unknown)
E= average CMB photonenergy = 6.34x10-4 eV [4]
mp= 938.27 MeV/c2 m
0= 134.97 MeV/c2
P= 4-momentum
Conclusion: Ep~2x1020 eV
See Ref 4 p221 (Stanev)
( )( )
( )
eVxE
cc
MeVMeV
eVx
ccMeV
E
mmE
mE
cm
cmmcmEEcm
PPPPPPPP
PPPP
p
p
pp
ppp
TOTTOTppp
TOTTOTp
20
2
24
22
2
222222
2
102
)97.134)27.938*2(
)1034.6(2
)/97.134(
22
photonasit'because0,
)()2()(
2
)(
0
0
0
!"#
$
%&
' +=
+=
=
+=++
=++
=+
(
)
*
)
*
)**
**
*
*
massofCenterLab
0
!
!+ "# pp
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Calculation of the gamma wall energy
The approach is to calculate thephoton energy, E
, required for
e+e- production on the CMB usingconservation of 4-momenta, P.
Considering the left hand side inthe lab frame and the right handside in the center-of-mass frame,where
E
= gamma ray (gamma wall)photon energy
Ecmb= average CMB photonenergy = 6.34x10-4 eV [4]
me+= me-= 0.511 MeV/c2 P= 4-momentum
Conclusion: E~8.2x1014 eV
See Ref 4 page 264 (Stanev)
( )( )
( )( )
[ ]
eVxE
eVx
ccMeVcMeVE
E
cmmE
cmandcm
cmmcmEEcm
PPPPPPPP
PPPP
cmb
ee
cmb
eecmbcmb
TOTTOTcmbcmb
TOTTOTcmb
14
4
2222
22
22
222222
2
102.8
)1034.6(2
)/511.0/511.0(
2
photonsrethey'because,0
)()2()(
2
)(
!
+=
+=
=
+=++
=++
=+
"
"+
"+
#
#
#
#
##
##
#
#
#
massofCenterLab
!
!+"+
eewallcmb
##
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GZK cutoff Part 4
Above the threshold, multiple pion production becomes important.The +will decay via
Thus, for each such interaction there will be three neutrinos, as wellas gamma rays from the decay of the :
+++
!! ee
""""#
!!" #0
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GZK cutoff Part 5
The presence or absence of the GZK cutoff is fundamental to
understanding the sources and nature of the propagation of UHECR
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Possible sources
Sources of high energy CR arethought to be powerful radiogalaxies
But they are located>>150 Mpc from Earth
This is a major problem if theparticles are conventionalparticles as nucleons or heavy
nuclei
They should lose energy viathe GZK effect The neighboring superclusters
(Earth is at center of image,
in the Virgo Supercluster)
100 MLY
30.6 Mpc
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Possible sources
Mean free path ~ few Mpc
This process limits CRsources to
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Isotropy
Regardless of whether thesource of the UHECR isGalactic or extragalactic, atthese high energies, theparticle paths should not be
significantly affected bymagnetic fields, so their arrivaldirection should point back totheir source
But the arrival directions are
isotropic
Note, B= uG in Galaxy,
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The Challenge
The absence of a GZK cutoffand the isotropy of arrival directionsare two of the main challenges that models for the origin of UHECRsface
Maybe the source resides in an extended Galactic halo
That eases the difficulty of the lack of GZK cutoff but is a challengeto acceleration mechanisms
There are 2 scenarios popularly proposed for the origin of UHECRs:
Bottom-up
Top-down
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Two scenarios Part 1
Bottom-up
Astrophysical acceleration
Top-down
Physics beyond the standardmodel
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Two scenarios Part 2
Bottom-up
Main hurdle is the need tofind a way to produce the
high energies
Top-down
Main hurdle is to account
for the high flux
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Two scenarios Part 3
Bottom-up
Pro: The highest energyevent (3.2 x 1020 eV)
argues for the existence ofZevatrons (ZeV=1021 eV),
Con: But even the mostpowerful astrophysicalobjects, as radio galaxies
and AGNs, can barelyaccelerate chargedparticles to 1020 eV
Top-down
Pro: Decay of very highmass relics from the early
universe; no accelerationmechanism needed
Con: The dynamics oftopological defectgeneration and evolution
generally selects thepresent horizon scale asthe typical distancebetween defects whichimplies a very low flux
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Two scenarios Part 4
Bottom-up
Statistical acceleration
Fermi acceleration
Acceleration in shocksassociated with SNremnants, AGNs, radiogalaxies
Direct acceleration
Assumes existence of a
strong electromagnetic field Acceleration in strong E
fields generated byrotating neutron starswith high surface Bfields
Top-down
Relics of the very earlyuniverse (topological defectsor superheavy relics) produced
after the end of inflation candecay today and generateUHECR
ZeV energies are not achallenge since symmetry-breaking scales at the end of
inflation are >> 1021 eV (typicalparticle masses between 1022 -1025 eV)
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Hillas plot Part 1
Acceleration of UHECR inastrophyiscal plasmasoccurs when large-scalemacroscopic motion, suchas shocks ad turbulentflows, is transferred toindividual particles
The max energy can beestimated by the gyroradiusof the particles contained inthe acceleration region
Graph from [1]
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Hillas plot Part 2
For a given strength, B,and coherence length L, ofthe field embedded in theplasma, Emax=ZeBL
Hillas plot shows knownastrophysical sources withreasonable BL
B
L
Graph from [1]
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GRB
Can GRBs be a source ofUHECR?
GRB and UHECR are bothdistributed isotropically in
the sky
Average rate of gamma rayenergy emitted by GRBs iscomparable to the energygeneration rate of UHECRof energy > 1019 eV
GZK still a problem
Isotropic distribution of GRB
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Hybrid Models
Uses physics beyond the standard model in a bottom-up approach,hence termed Hybrid
Uses Zevatrons to generate UHECR that are particles other thanprotons, nuclei, and photons,
One example: Neutrino masses ~ 1eV, the relic neutrinobackground will cluster in halos of galaxies and clusters of galaxies.High energy neutrinos accelerated in Zevatrons can annihilate onthe neutrino background and form UEHCR through the hadronic Zdecay.
Neutrinos do not suffer from GZK losses, so the Zevatrons can belocated much farther away
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Power law
Power law exists over many
decades
Source must generate a power
law spectrum
Graph from [2]
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Composition
The composition of theUHECR could helpdiscriminate betweenproposed sources
Galactic disk models need toinvoke heavier nuclei (Fe) tobe consistent with the isotropicdistribution
Extragalactic models favorproton primaries
Photon primaries morecommon among top-downscenarios
Graph from [2]
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The future
The new experiments, HIRES,
the Auger Observatory, and
the OWL-Airwatch satellite will
improve data on the spectrum
and spatial distribution, andcomposition of UHECR.
The lack of a GZK cutoff
should become apparent with
Auger and, if so, most
extragalactic Zevatrons maybe ruled out.
Graph from [2]
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The future
The observed spectrum will
distinguish Zevatrons or top-
down model by testing power
las vs. QCD fragmentation fits
The correlation of arrival
directions of UHECR with
some known structure as the
Galaxy, Galactic halo, Local
Group, or Local Supercluster
would be key in differentiatingbetween different models
Graph from [2]